| 屈曲粘弹性倾斜矩形板的非线性振动分岔 |
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| 引用本文： | 吴晓.屈曲粘弹性倾斜矩形板的非线性振动分岔[J].振动与冲击,2001,20(1):69-71. |
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| 作者姓名： | 吴晓 |
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| 作者单位： | 常德师范学院, |
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| 摘 要： | 根据屈曲粘弹性倾斜矩形板的非线性动力方程，采用Melnikov法及Galerkin原理研究了其在铅垂周期扰力作用下的非线性振动分岔。并讨论分析了倾斜角、长宽比、板厚等因素对屈曲粘弹性矩形板发生混沌运动区域的影响，得到了倾斜角、板厚的增加会使混沌运动区域减小，长宽比的增大会使混沌运动区域变大的重要结论。
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| 关 键 词： | 振动分岔 混沌运动 屈曲粘弹性倾斜矩形板 非线性振动 |
| 修稿时间： | 2000年3月23日 |
THE NONLINEAR VIBRATION
BIFURCATION OF THE BUCKLED VISCOELASTIC INCLINED RECTANGULAR PLATE |
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| Wu Xiao.THE NONLINEAR VIBRATION
BIFURCATION OF THE BUCKLED VISCOELASTIC INCLINED RECTANGULAR PLATE[J].Journal of Vibration and Shock,2001,20(1):69-71. |
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| Authors: | Wu Xiao |
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| Abstract: | In terms of nonlinear dynamic equation of the buckled viscoelastic inclined rectangular plate,the nonlinear vibration bifurcation of a rectangular plate under action of vertical periodic force is studied by using Melnikov's method adn Garlerkin's principle.The effects of inclined angle,ratio of length and width,thickness of plate etc,on the plate's chaotic motion area are discussed.The conclusion is that the plate's chaotioc motion area reduces with increase of inclined angle and thickness of plate and rises with increase of length_width ration of plate. |
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| Keywords: | buckling viscoelasticity inclined plate vibration bifurcation chaotic motion aera |
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